{
  "id": "2011.02085",
  "version": "v1",
  "published": "2020-11-04T00:58:54.000Z",
  "updated": "2020-11-04T00:58:54.000Z",
  "title": "$τ$-tilting finite triangular matrix algebras",
  "authors": [
    "Takuma Aihara",
    "Takahiro Honma"
  ],
  "comment": "9 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "First, we give a new example of silting-discrete algebras. Second, one explores when the algebra of triangular matrices over a finite dimensional algebra is $\\tau$-tilting finite. In particular, we classify algebras over which triangular matrix algebras are $\\tau$-tilting finite. Finally, we investigate when a triangular matrix algebra is silting-discrete.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-04T00:58:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G60",
      "16B50"
    ],
    "keywords": [
      "tilting finite triangular matrix algebras",
      "finite dimensional algebra",
      "silting-discrete algebras",
      "classify algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}